Function Worksheet

**Page 2**

11.

Ed earns $$p$ per hour working as a translator. He must work for $h$ hours to earn $325. Which of the following equations best relates the variables?

a. | $p$ = $\frac{h}{325}$ | ||

b. | $\frac{\mathrm{h}}{\mathrm{p}}$ = 325 | ||

c. | $h$ = $\frac{p}{325}$ | ||

d. | $h$$p$ = 325 |

To earn $325 he has to work for

If he works for 1 hour he earns $

So,

Correct answer : (4)

12.

Find the constant of variation in the direct variation model $y$ = 6$x$.

a. | - 6 | ||

b. | 6 | ||

c. | 1 | ||

d. | $\frac{1}{6}$ |

In the model

[Compare with

Therefore, the constant of variation in the direct variation model

Correct answer : (2)

13.

Cost of a chocolate is $0.35. Identify the graph that shows the relationship between the number of chocolates and their total cost.

a. | Graph 3 | ||

b. | Graph 2 | ||

c. | Graph 4 | ||

d. | Graph 1 |

As the number of chocolates increases, the total cost of the chocolates also increases.

The direct variation between the number of chocolates and its total cost can be given as, total cost = 0.35 ×

The number of chocolates and the total cost is given in the table.

Graph 1 shows the relationship between the number of chocolates and its total cost.

Correct answer : (4)

14.

A machine can make 1,500 bolts in 3 hours. Which graph shows the relationship between the number of bolts produced by the machine and the time taken?

a. | Graph 4 | ||

b. | Graph 3 | ||

c. | Graph 1 | ||

d. | Graph 2 |

As the time goes on, the total number of bolts produced by the machine, increases.

The direct variation between the number of bolts produced by the machine and the time taken can be given as, number of bolts produced in

The number of bolts produced and the time taken is shown in the table.

Graph 4 shows the relationship between the number of bolts produced by the machine and time taken.

Correct answer : (1)

15.

The table shows the relationship between the number of hours it takes to complete a task and the number of workers doing it.

How many hours would it take for 9 workers to complete the task?

Number of Workers | 2 | 4 | 8 | 9 |

Number of Hours | 36 | 18 | 9 | ? |

How many hours would it take for 9 workers to complete the task?

a. | 9 | ||

b. | 7.2 | ||

c. | 8 | ||

d. | 6 |

2 × 36 = 4 × 18 = 8 × 9 = 72 hours are needed to complete the task for 1 worker.

Time to complete the task for 9 workers =

Correct answer : (3)

16.

Identify an equation that shows an inverse relation between $x$ and $y$. Assume $y$ = 5 and $x$ = 10.

a. | $y$ = $\frac{5}{10}$ $x$ | ||

b. | $x$$y$ = $\frac{5}{10}$ | ||

c. | $x$$y$ = 50 | ||

d. | $x$ = $\frac{5}{10}$ $y$ |

10 × 5 =

[Substitute the values of

[Multiply.]

Therefore, the equation that shows an inverse relation between

Correct answer : (3)

17.

Identify a graph that shows an inverse variation.

a. | Graph 4 | ||

b. | Graph 2 | ||

c. | Graph 1 | ||

d. | Graph 3 |

In Graph 1, as the values on

This shows that the values of

Therefore, Graph 1 shows the inverse variation.

Correct answer : (3)

18.

Identify the graph that shows the relation between the number of workers and the time taken (days) by them to finish a particular job.

a. | Graph 1 | ||

b. | Graph 4 | ||

c. | Graph 2 | ||

d. | Graph 3 |

Inverse variation is a relationship between two variables, in which, the product is a constant. When one variable increases the other decreases in proportion, so that the product is unchanged.

Therefore, Graph 4 shows the relation between the number of workers and the time taken by them to finish a particular job.

Correct answer : (2)

19.

A machine can make 1,200 rugs in 3 hours. Which graph shows the relationship between the number of rugs produced by the machine and the time taken?

a. | Graph 2 | ||

b. | Graph 3 | ||

c. | Graph 1 | ||

d. | Graph 4 |

As the time goes on, the total number of rugs produced by the machine, increases.

The direct variation between the number of rugs produced by the machine and the time taken can be given as, number of rugs produced in

The number of bolts produced and the time taken is shown in the table.

Graph 3 shows the relationship between the number of rugs produced by the machine and time taken.

Correct answer : (2)

20.

Sarah is paid $26 for every two hours of babysitting. Which of the graphs best represents the situation?

a. | Graph 4 | ||

b. | Graph 3 | ||

c. | Graph 1 | ||

d. | Graph 2 |

Amount of money Sarah earns in one hour = $13.

If Sarah babysits for more hours, the amount of money she earns, increases.

Therefore, the direct variation between the number of hours Sarah babysits and the amount of money she earns can be given as, amount of money Sarah earns = 13 ×

The number of hours Sarah babysits and the amount she earns is given in the table.

Graph 2 best represents the situation.

Correct answer : (4)